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Simulation 4 – null distribution in permuted CARDIA data

WL Wodan Ling
NZ Ni Zhao
AP Anna M. Plantinga
LL Lenore J. Launer
AF Anthony A. Fodor
KM Katie A. Meyer
MW Michael C. Wu
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Finally, we assessed type I error control based on permuted CARDIA data and used the results to infer the validity of different approaches in analyzing real CARDIA data. First, we normalized the CARDIA data by (1) rarefaction or (2) CSS. We then permuted the covariates (HBP, age, physical activity score and dietary quality score) jointly over the 531 samples to create a permuted OTU table. Such a permutation maintains the relationships among covariates, but removes the association between HBP and the normalized microbial abundance. Thus, the permuted table should have no differentially abundant taxa, and taxa with small p-values are considered false positive signals. We applied ZINQ and all the competing methods in Simulation 2 to the permuted table, then evaluated type I error control by the proportion of taxa with p-values less than 0.05. We repeated the process 50 times and summarized the type I errors by boxplots.

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